Finding all the Zeros of a Polynomial - Example 2

[Idj3]

I love you.

[MaritzzzzGlam03]

you are amazing! I understand it now!!!!

[engysamad1]

Patrick you are great teacher.I would like to ask you how i use calculatour to find rational zero insted of trying all factors.and is important to use calculator or work out mentally is enough ?Thanks

[MicNarcolepsy]

Patrick what textbooks do you use to teach? Your videos and their examples are nearly similar to everything I have. Thanks for the vids, keep it up! :)

[patrickJMT]

@MicNarcolepsy i have a ton, but i use stewart and larson a lot for calculus. i used stewart's book in the past as a student and when i taught in the classroom

[megametalpriest]

Patrick there has to be a shortcut for this because on a test I can't try all 15 factors of a number...

[patrickJMT]

@megametalpriest let me know when you find it, i would also like to know.

[checkit631]

@megametalpriest

Descartes rule of signs and "Upper bound/Lower bound" would help a lot to eliminate possibilities. Especially when dealing with really high degrees

[Zyzxx1172]

this is a great video. youtube being full of people like you, allows me to attend afterschool school!

[RarwAshleyPersonal]

This would be so much easier if when you had to find the zeros, you wouldn't have to go through 20 possible rational roots

[patrickJMT]

@RarwAshleyPersonal loool

[Kingdomheartsgurlx]

This is what's on my math test tomorrow! Thanks a lot! You really saved me :D

[thecrticman]

how would you graph these

could you do a video on that or if you already have derect me to it please

[CHANNELx7xGAMING]

I like the fact that there's no dislikes

[patrickJMT]

@CHANNELx7xGAMING now they will come : )

[majorevangelism]

@patrickJMT prediction has been proven invalid

[AzzK1KR69]

@CHANNELx7xGAMING i just disliked it.....

[KarlaLovezMusicxD]

You taught me how to do this 10X BETTER than my pre-cal teacher did :)

Thank you so much for all the help!!! You're amazing !! :D

[patrickJMT]

@KarlaLovezMusicxD happy to help : )

[ImaFez]

r u canadian?

[patrickJMT]

@ImaFez nope

[pimplick]

how do I do a problem like x(2x-1)(x-1)(x+1) ?

[Itsmyfaceonthescreen]

what happens when they give you one of the factors with an "i" in it??

[patrickJMT]

@Itsmyfaceonthescreen it means one of the solutions is imaginary / complex. also, by the conjugate pair theorem, it means that -i is also a complex root.

[PinkPeptobizmol]

What if there was not a constant???

[TheStealth1212]

@PinkPeptobizmol you still have to put a place holder, same with any other open spaces in the equation.. so you just plug in 0

[8644371]

Is this stuff related to the fundamental theorem of algebra?

Because I swear that it is. If so: How do we find complex number roots?

[0987poiu654ytr]

couldnt you have just done synthetic division for that first part?

[pussindaboots]

Thank you so much! Totally made my day :D

[dancinginblue]

Dear Patrick:

I had almost given up hope in this college algebra class that is a general education requirement for my graduation from college. Thanks to you, I will probably graduate college.

Sincerely,

An artistic student who does not think in the terms that math is explained in a textbook.

[TypicalGuitarGuy]

you are my math teacher. :D

[Sylvanas17]

awesome work!! i understand now xD

[hsucarmen]

Thanks so much for posting these up, they help me alot whenever I get stuck on my homework because my teacher doesn't explain it as well.

[cheesenstarburst]

omg you are a life saver that was great help thank you so muchhhh (:

[dizdagurl2]

Thank you sooo much for posting this videos, we recently started this topic and I just was not getting it. This was extremely helpful. P.S. I have a quiz in the morning. I feel better about it. THANK YOU!

[jashei]

can you do 2x^4 - x^3 + x^2 – 1 ? please

[jashei]

can you do 2x^4 - x^3 + x^2 – 1 ? please

[91alizzle]

Thank you very much for your videos! They have helped me so much!

[patrickJMT]

@91alizzle glad they have been of some use to u : )

[esunsinverguenza]

thamks for your videos.....is this some kind of Ruffini?